#pragma once

const double L_data[] = {
    0.0000,  0.0006,  0.0011,  0.0017,  0.0023,  0.0029,  0.0034,  0.0040,
    0.0046,  0.0052,  0.0057,  0.0063,  0.0069,  0.0074,  0.0080,  0.0086,
    0.0092,  0.0097,  0.0103,  0.0109,  0.0114,  0.0120,  0.0126,  0.0132,
    0.0137,  0.0143,  0.0149,  0.0155,  0.0160,  0.0166,  0.0172,  0.0177,
    0.0183,  0.0189,  0.0195,  0.0200,  0.0206,  0.0212,  0.0218,  0.0223,
    0.0229,  0.0235,  0.0240,  0.0246,  0.0252,  0.0258,  0.0263,  0.0269,
    0.0275,  0.0281,  0.0286,  0.0292,  0.0298,  0.0303,  0.0309,  0.0315,
    0.0321,  0.0326,  0.0332,  0.0338,  0.0344,  0.0349,  0.0355,  0.0361,
    0.0366,  0.0372,  0.0378,  0.0384,  0.0389,  0.0395,  0.0401,  0.0407,
    0.0412,  0.0418,  0.0424,  0.0429,  0.0435,  0.0441,  0.0447,  0.0452,
    0.0458,  0.0464,  0.0470,  0.0475,  0.0481,  0.0487,  0.0492,  0.0498,
    0.0504,  0.0510,  0.0515,  0.0521,  0.0527,  0.0533,  0.0538,  0.0544,
    0.0550,  0.0555,  0.0561,  0.0567,  0.0573,  0.0578,  0.0584,  0.0590,
    0.0596,  0.0601,  0.0607,  0.0613,  0.0618,  0.0624,  0.0630,  0.0636,
    0.0641,  0.0647,  0.0653,  0.0659,  0.0664,  0.0670,  0.0676,  0.0682,
    0.0687,  0.0693,  0.0699,  0.0704,  0.0710,  0.0716,  0.0722,  0.0727,
    0.0733,  0.0739,  0.0745,  0.0750,  0.0756,  0.0762,  0.0767,  0.0773,
    0.0779,  0.0785,  0.0790,  0.0796,  0.0802,  0.0808,  0.0813,  0.0819,
    0.0825,  0.0831,  0.0836,  0.0842,  0.0848,  0.0853,  0.0859,  0.0865,
    0.0871,  0.0876,  0.0882,  0.0888,  0.0894,  0.0899,  0.0905,  0.0911,
    0.0916,  0.0922,  0.0928,  0.0934,  0.0939,  0.0945,  0.0951,  0.0957,
    0.0962,  0.0968,  0.0974,  0.0980,  0.0985,  0.0991,  0.0997,  0.1002,
    0.1008,  0.1014,  0.1020,  0.1025,  0.1031,  0.1037,  0.1043,  0.1048,
    0.1054,  0.1060,  0.1066,  0.1071,  0.1077,  0.1083,  0.1088,  0.1094,
    0.1100,  0.1106,  0.1111,  0.1117,  0.1123,  0.1129,  0.1134,  0.1140,
    0.1146,  0.1152,  0.1157,  0.1163,  0.1169,  0.1174,  0.1180,  0.1186,
    0.1192,  0.1197,  0.1203,  0.1209,  0.1215,  0.1220,  0.1226,  0.1232,
    0.1238,  0.1243,  0.1249,  0.1255,  0.1260,  0.1266,  0.1272,  0.1278,
    0.1283,  0.1289,  0.1295,  0.1301,  0.1306,  0.1312,  0.1318,  0.1324,
    0.1329,  0.1335,  0.1341,  0.1347,  0.1352,  0.1358,  0.1364,  0.1369,
    0.1375,  0.1381,  0.1387,  0.1392,  0.1398,  0.1404,  0.1410,  0.1415,
    0.1421,  0.1427,  0.1433,  0.1438,  0.1444,  0.1450,  0.1456,  0.1461,
    0.1467,  0.1473,  0.1478,  0.1484,  0.1490,  0.1496,  0.1501,  0.1507,
    0.1513,  0.1519,  0.1524,  0.1530,  0.1536,  0.1542,  0.1547,  0.1553,
    0.1559,  0.1565,  0.1570,  0.1576,  0.1582,  0.1587,  0.1593,  0.1599,
    0.1605,  0.1610,  0.1616,  0.1622,  0.1628,  0.1633,  0.1639,  0.1645,
    0.1651,  0.1656,  0.1662,  0.1668,  0.1674,  0.1679,  0.1685,  0.1691,
    0.1696,  0.1702,  0.1708,  0.1714,  0.1719,  0.1725,  0.1731,  0.1737,
    0.1742,  0.1748,  0.1754,  0.1760,  0.1765,  0.1771,  0.1777,  0.1783,
    0.1788,  0.1794,  0.1800,  0.1806,  0.1811,  0.1817,  0.1823,  0.1828,
    0.1834,  0.1840,  0.1846,  0.1851,  0.1857,  0.1863,  0.1869,  0.1874,
    0.1880,  0.1886,  0.1892,  0.1897,  0.1903,  0.1909,  0.1915,  0.1920,
    0.1926,  0.1932,  0.1938,  0.1943,  0.1949,  0.1955,  0.1961,  0.1966,
    0.1972,  0.1978,  0.1983,  0.1989,  0.1995,  0.2001,  0.2006,  0.2012,
    0.2018,  0.2024,  0.2029,  0.2035,  0.2041,  0.2047,  0.2052,  0.2058,
    0.2064,  0.2070,  0.2075,  0.2081,  0.2087,  0.2093,  0.2098,  0.2104,
    0.2110,  0.2116,  0.2121,  0.2127,  0.2133,  0.2139,  0.2144,  0.2150,
    0.2156,  0.2161,  0.2167,  0.2173,  0.2179,  0.2184,  0.2190,  0.2196,
    0.2202,  0.2207,  0.2213,  0.2219,  0.2225,  0.2230,  0.2236,  0.2242,
    0.2248,  0.2253,  0.2259,  0.2265,  0.2271,  0.2276,  0.2282,  0.2288,
    0.2294,  0.2299,  0.2305,  0.2311,  0.2317,  0.2322,  0.2328,  0.2334,
    0.2340,  0.2345,  0.2351,  0.2357,  0.2363,  0.2368,  0.2374,  0.2380,
    0.2385,  0.2391,  0.2397,  0.2403,  0.2408,  0.2414,  0.2420,  0.2426,
    0.2431,  0.2437,  0.2443,  0.2449,  0.2454,  0.2460,  0.2466,  0.2472,
    0.2477,  0.2483,  0.2489,  0.2495,  0.2500,  0.2506,  0.2512,  0.2518,
    0.2523,  0.2529,  0.2535,  0.2541,  0.2546,  0.2552,  0.2558,  0.2564,
    0.2569,  0.2575,  0.2581,  0.2587,  0.2592,  0.2598,  0.2604,  0.2610,
    0.2615,  0.2621,  0.2627,  0.2633,  0.2638,  0.2644,  0.2650,  0.2656,
    0.2661,  0.2667,  0.2673,  0.2679,  0.2684,  0.2690,  0.2696,  0.2702,
    0.2707,  0.2713,  0.2719,  0.2725,  0.2730,  0.2736,  0.2742,  0.2747,
    0.2753,  0.2759,  0.2765,  0.2770,  0.2776,  0.2782,  0.2788,  0.2793,
    0.2799,  0.2805,  0.2811,  0.2816,  0.2822,  0.2828,  0.2834,  0.2839,
    0.2845,  0.2851,  0.2857,  0.2862,  0.2868,  0.2874,  0.2880,  0.2885,
    0.2891,  0.2897,  0.2903,  0.2908,  0.2914,  0.2920,  0.2926,  0.2931,
    0.2937,  0.2943,  0.2949,  0.2954,  0.2960,  0.2966,  0.2972,  0.2977,
    0.2983,  0.2989,  0.2995,  0.3000,  0.3006,  0.3012,  0.3018,  0.3023,
    0.3029,  0.3035,  0.3041,  0.3046,  0.3052,  0.3058,  0.3064,  0.3069,
    0.3075,  0.3081,  0.3087,  0.3092,  0.3098,  0.3104,  0.3110,  0.3115,
    0.3121,  0.3127,  0.3133,  0.3138,  0.3144,  0.3150,  0.3156,  0.3161,
    0.3167,  0.3173,  0.3179,  0.3184,  0.3190,  0.3196,  0.3202,  0.3207,
    0.3213,  0.3219,  0.3225,  0.3230,  0.3236,  0.3242,  0.3248,  0.3253,
    0.3259,  0.3265,  0.3271,  0.3276,  0.3282,  0.3288,  0.3294,  0.3300,
    0.3305,  0.3311,  0.3317,  0.3323,  0.3328,  0.3334,  0.3340,  0.3346,
    0.3351,  0.3357,  0.3363,  0.3369,  0.3374,  0.3380,  0.3386,  0.3392,
    0.3397,  0.3403,  0.3409,  0.3415,  0.3420,  0.3426,  0.3432,  0.3438,
    0.3443,  0.3449,  0.3455,  0.3461,  0.3466,  0.3472,  0.3478,  0.3484,
    0.3489,  0.3495,  0.3501,  0.3507,  0.3512,  0.3518,  0.3524,  0.3530,
    0.3535,  0.3541,  0.3547,  0.3553,  0.3558,  0.3564,  0.3570,  0.3576,
    0.3581,  0.3587,  0.3593,  0.3599,  0.3604,  0.3610,  0.3616,  0.3622,
    0.3627,  0.3633,  0.3639,  0.3645,  0.3651,  0.3656,  0.3662,  0.3668,
    0.3674,  0.3679,  0.3685,  0.3691,  0.3697,  0.3702,  0.3708,  0.3714,
    0.3720,  0.3725,  0.3731,  0.3737,  0.3743,  0.3748,  0.3754,  0.3760,
    0.3766,  0.3771,  0.3777,  0.3783,  0.3789,  0.3794,  0.3800,  0.3806,
    0.3812,  0.3817,  0.3823,  0.3829,  0.3835,  0.3840,  0.3846,  0.3852,
    0.3858,  0.3863,  0.3869,  0.3875,  0.3881,  0.3887,  0.3892,  0.3898,
    0.3904,  0.3910,  0.3915,  0.3921,  0.3927,  0.3933,  0.3938,  0.3944,
    0.3950,  0.3956,  0.3961,  0.3967,  0.3973,  0.3979,  0.3984,  0.3990,
    0.3996,  0.4002,  0.4007,  0.4013,  0.4019,  0.4025,  0.4030,  0.4036,
    0.4042,  0.4048,  0.4054,  0.4059,  0.4065,  0.4071,  0.4077,  0.4082,
    0.4088,  0.4094,  0.4100,  0.4105,  0.4111,  0.4117,  0.4123,  0.4128,
    0.4134,  0.4140,  0.4146,  0.4151,  0.4157,  0.4163,  0.4169,  0.4174,
    0.4180,  0.4186,  0.4192,  0.4198,  0.4203,  0.4209,  0.4215,  0.4221,
    0.4226,  0.4232,  0.4238,  0.4244,  0.4249,  0.4255,  0.4261,  0.4267,
    0.4272,  0.4278,  0.4284,  0.4290,  0.4295,  0.4301,  0.4307,  0.4313,
    0.4318,  0.4324,  0.4330,  0.4336,  0.4342,  0.4347,  0.4353,  0.4359,
    0.4365,  0.4370,  0.4376,  0.4382,  0.4388,  0.4393,  0.4399,  0.4405,
    0.4411,  0.4416,  0.4422,  0.4428,  0.4434,  0.4439,  0.4445,  0.4451,
    0.4457,  0.4463,  0.4468,  0.4474,  0.4480,  0.4486,  0.4491,  0.4497,
    0.4503,  0.4509,  0.4514,  0.4520,  0.4526,  0.4532,  0.4537,  0.4543,
    0.4549,  0.4555,  0.4561,  0.4566,  0.4572,  0.4578,  0.4584,  0.4589,
    0.4595,  0.4601,  0.4607,  0.4612,  0.4618,  0.4624,  0.4630,  0.4635,
    0.4641,  0.4647,  0.4653,  0.4658,  0.4664,  0.4670,  0.4676,  0.4682,
    0.4687,  0.4693,  0.4699,  0.4705,  0.4710,  0.4716,  0.4722,  0.4728,
    0.4733,  0.4739,  0.4745,  0.4751,  0.4757,  0.4762,  0.4768,  0.4774,
    0.4780,  0.4785,  0.4791,  0.4797,  0.4803,  0.4808,  0.4814,  0.4820,
    0.4826,  0.4831,  0.4837,  0.4843,  0.4849,  0.4855,  0.4860,  0.4866,
    0.4872,  0.4878,  0.4883,  0.4889,  0.4895,  0.4901,  0.4906,  0.4912,
    0.4918,  0.4924,  0.4929,  0.4935,  0.4941,  0.4947,  0.4953,  0.4958,
    0.4964,  0.4970,  0.4976,  0.4981,  0.4987,  0.4993,  0.4999,  0.5004,
    0.5010,  0.5016,  0.5022,  0.5028,  0.5033,  0.5039,  0.5045,  0.5051,
    0.5056,  0.5062,  0.5068,  0.5074,  0.5079,  0.5085,  0.5091,  0.5097,
    0.5103,  0.5108,  0.5114,  0.5120,  0.5126,  0.5131,  0.5137,  0.5143,
    0.5149,  0.5154,  0.5160,  0.5166,  0.5172,  0.5177,  0.5183,  0.5189,
    0.5195,  0.5201,  0.5206,  0.5212,  0.5218,  0.5224,  0.5229,  0.5235,
    0.5241,  0.5247,  0.5252,  0.5258,  0.5264,  0.5270,  0.5276,  0.5281,
    0.5287,  0.5293,  0.5299,  0.5304,  0.5310,  0.5316,  0.5322,  0.5327,
    0.5333,  0.5339,  0.5345,  0.5351,  0.5356,  0.5362,  0.5368,  0.5374,
    0.5379,  0.5385,  0.5391,  0.5397,  0.5403,  0.5408,  0.5414,  0.5420,
    0.5426,  0.5431,  0.5437,  0.5443,  0.5449,  0.5454,  0.5460,  0.5466,
    0.5472,  0.5478,  0.5483,  0.5489,  0.5495,  0.5501,  0.5506,  0.5512,
    0.5518,  0.5524,  0.5529,  0.5535,  0.5541,  0.5547,  0.5553,  0.5558,
    0.5564,  0.5570,  0.5576,  0.5581,  0.5587,  0.5593,  0.5599,  0.5605,
    0.5610,  0.5616,  0.5622,  0.5628,  0.5633,  0.5639,  0.5645,  0.5651,
    0.5656,  0.5662,  0.5668,  0.5674,  0.5680,  0.5685,  0.5691,  0.5697,
    0.5703,  0.5708,  0.5714,  0.5720,  0.5726,  0.5732,  0.5737,  0.5743,
    0.5749,  0.5755,  0.5760,  0.5766,  0.5772,  0.5778,  0.5783,  0.5789,
    0.5795,  0.5801,  0.5807,  0.5812,  0.5818,  0.5824,  0.5830,  0.5835,
    0.5841,  0.5847,  0.5853,  0.5859,  0.5864,  0.5870,  0.5876,  0.5882,
    0.5887,  0.5893,  0.5899,  0.5905,  0.5911,  0.5916,  0.5922,  0.5928,
    0.5934,  0.5939,  0.5945,  0.5951,  0.5957,  0.5963,  0.5968,  0.5974,
    0.5980,  0.5986,  0.5991,  0.5997,  0.6003,  0.6009,  0.6015,  0.6020,
    0.6026,  0.6032,  0.6038,  0.6043,  0.6049,  0.6055,  0.6061,  0.6066,
    0.6072,  0.6078,  0.6084,  0.6090,  0.6095,  0.6101,  0.6107,  0.6113,
    0.6118,  0.6124,  0.6130,  0.6136,  0.6142,  0.6147,  0.6153,  0.6159,
    0.6165,  0.6170,  0.6176,  0.6182,  0.6188,  0.6194,  0.6199,  0.6205,
    0.6211,  0.6217,  0.6222,  0.6228,  0.6234,  0.6240,  0.6246,  0.6251,
    0.6257,  0.6263,  0.6269,  0.6274,  0.6280,  0.6286,  0.6292,  0.6298,
    0.6303,  0.6309,  0.6315,  0.6321,  0.6326,  0.6332,  0.6338,  0.6344,
    0.6350,  0.6355,  0.6361,  0.6367,  0.6373,  0.6378,  0.6384,  0.6390,
    0.6396,  0.6402,  0.6407,  0.6413,  0.6419,  0.6425,  0.6431,  0.6436,
    0.6442,  0.6448,  0.6454,  0.6459,  0.6465,  0.6471,  0.6477,  0.6483,
    0.6488,  0.6494,  0.6500,  0.6506,  0.6511,  0.6517,  0.6523,  0.6529,
    0.6535,  0.6540,  0.6546,  0.6552,  0.6558,  0.6563,  0.6569,  0.6575,
    0.6581,  0.6587,  0.6592,  0.6598,  0.6604,  0.6610,  0.6615,  0.6621,
    0.6627,  0.6633,  0.6639,  0.6644,  0.6650,  0.6656,  0.6662,  0.6668,
    0.6673,  0.6679,  0.6685,  0.6691,  0.6696,  0.6702,  0.6708,  0.6714,
    0.6720,  0.6725,  0.6731,  0.6737,  0.6743,  0.6748,  0.6754,  0.6760,
    0.6766,  0.6772,  0.6777,  0.6783,  0.6789,  0.6795,  0.6801,  0.6806,
    0.6812,  0.6818,  0.6824,  0.6829,  0.6835,  0.6841,  0.6847,  0.6853,
    0.6858,  0.6864,  0.6870,  0.6876,  0.6881,  0.6887,  0.6893,  0.6899,
    0.6905,  0.6910,  0.6916,  0.6922,  0.6928,  0.6934,  0.6939,  0.6945,
    0.6951,  0.6957,  0.6962,  0.6968,  0.6974,  0.6980,  0.6986,  0.6991,
    0.6997,  0.7003,  0.7009,  0.7015,  0.7020,  0.7026,  0.7032,  0.7038,
    0.7043,  0.7049,  0.7055,  0.7061,  0.7067,  0.7072,  0.7078,  0.7084,
    0.7090,  0.7096,  0.7101,  0.7107,  0.7113,  0.7119,  0.7124,  0.7130,
    0.7136,  0.7142,  0.7148,  0.7153,  0.7159,  0.7165,  0.7171,  0.7177,
    0.7182,  0.7188,  0.7194,  0.7200,  0.7205,  0.7211,  0.7217,  0.7223,
    0.7229,  0.7234,  0.7240,  0.7246,  0.7252,  0.7258,  0.7263,  0.7269,
    0.7275,  0.7281,  0.7286,  0.7292,  0.7298,  0.7304,  0.7310,  0.7315,
    0.7321,  0.7327,  0.7333,  0.7339,  0.7344,  0.7350,  0.7356,  0.7362,
    0.7367,  0.7373,  0.7379,  0.7385,  0.7391,  0.7396,  0.7402,  0.7408,
    0.7414,  0.7420,  0.7425,  0.7431,  0.7437,  0.7443,  0.7449,  0.7454,
    0.7460,  0.7466,  0.7472,  0.7477,  0.7483,  0.7489,  0.7495,  0.7501,
    0.7506,  0.7512,  0.7518,  0.7524,  0.7530,  0.7535,  0.7541,  0.7547,
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